Question
Consider three bonds with 6.20% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of
Consider three bonds with 6.20% coupon rates, all making annual coupon payments and all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has a maturity of 8 years, and the long-term bond has a maturity of 30 years.
a. What will be the price of the 4-year bond if its yield increases to 7.20%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
b. What will be the price of the 8-year bond if its yield increases to 7.20%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
c. What will be the price of the 30-year bond if its yield increases to 7.20%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
d. What will be the price of the 4-year bond if its yield decreases to 5.20%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
e. What will be the price of the 8-year bond if its yield decreases to 5.20%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
f. What will be the price of the 30-year bond if its yield decreases to 5.20%? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
g. Comparing your answers to parts (a), (b), and (c), are long-term bonds more or less affected than short-term bonds by a rise in interest rates?
h. Comparing your answers to parts (d), (e), and (f), are long-term bonds more or less affected than short-term bonds by a decline in interest rates?
Step by Step Solution
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Step: 1
To calculate the bond prices we can use the present value formula for bonds The formula is as follows Bond Price Coupon Payment Discount Rate 1 1 Disc...Get Instant Access to Expert-Tailored Solutions
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Step: 2
Step: 3
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